First International Congress of Chinese Mathematicians

Morningside lectures: Problems in moonshine by R. E. Borcherds The Ornstein-Uhlenbeck process on a Riemannian manifold by D. W. Stroock Plenary addresses: Stochastic PDEs in turbulence theory by W. E Recent developments of realization of surfaces in $R^3$ by H. Jiaxing Numerical study of interfacial problems with small surface tension by H. D. Ceniceros and T. Y. Hou Selected topics in moduli spaces by J. Li A tour of mirror symmetry by B. H. Lian and S.-T. Yau The scalar curvature equation on $S^n$ by C.-S. Lin Symplectic isotopy in four dimension by G. Tian Stability in Hamiltonian dynamical systems by Z. Xia On the behavior of solutions to the compressible Navier-Stokes equations by Z. Xin Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation by H.-T. Yau Geometry of algebraic points by S. Zhang Invited addresses: Jordan structures in Banach manifolds by C.-H. Chu The rationality problem of finite group actions by M.-c. Kang Hecke algebras and representation ring of Hopf algebras by Y. Zhu On the Euler numbers of threefolds by M.-C. Chang Vector bundles, the $S$-duality conjecture of Vafa and Witten, and vertex algebras by W.-p. Li and Z. Qin Cayley-Bacharach property and $k$-very ampleness by S.-L. Tan Sharp polynomial upper estimate of number of positive integral points in tetrahedron and coordinate free characterization of homogeneous polynomials by K.-P. Lin and S. S.-T. Yau Spectral theory and geometry of locally symmetric spaces by L. Ji On the first eigenvalue of Laplacian for locally symmetric manifolds by J.-s. Li DGBV algebras and mirror symmetry by H.-D. Cao and J. Zhou Harmonic maps on noncompact manifolds by L.-f. Tam Curvature, bounded cohomology and path integrals by J.-Y. Wu Vanishing theorems for loop spaces by K. Liu Symplectic forms, 2+1 soliton equations, and supersymmetric gauge theories by D. H. Phong Quotients, invariant version of Cartan's lemma, and the minimum principle by X.-Y. Zhou an elementary expose on equisingularities by T.-C. Kuo and L. Paunescu A proof of the strong Kervaire invariant in dimension 62 by W.-H. Lin Melvin-Morton conjecture: A survey by X.-S. Lin The Seiberg-Witten equations and the Milnor torsion by G. Meng The Bergman kernel function of some Reinhardt domains by S. Gong and X. Zheng On some problems in several complex variables and CR geometry by X. Huang A KAM theory for resonant tori and a generalization of Poincare-Birkhoff fixed point theorem by C.-Q. Cheng Persistence of $C^k$ normally hyperbolic invariant manifolds for infinite dimensional dynamical systems by P. W. Bates, K. Lu, and C. Zeng Fine analysis of blow up and applications by Y. Y. Li Varifold type theory for Sobolev mappings by F. Lin Cellular neural networks: Pattern and waves by S.-S. Lin Long time behavior of curves evolving by curvature by X.-P. Zhu Discontinuous solutions to nonlinear evolutionary partial differential equations by G.-Q. Chen Well-posedness theory for hyperbolic conservation laws by T.-P. Liu Two-dimensional Riemann problems for conservation laws in gas dynamics by J. Li and T. Zhang Boundedness of cascade algorithms in Besov spaces by S. L. Lee and Q. Sun Circulant preconditioners for ill-conditioned Hermitian Toeplitz matrices by R. H. Chan, M.-h. Yip, C.-w. Leung, and M. K. Ng What is computational geometry by R.-H. Wang A survey on circular chromatic numbers of graphs by G. J. Chang Approximations for color-covering problems by L. Ruan, D.-Z. Du, X. Hu, X. Jia, and D. Li List of participants.